CMC Medical CMC-Medical VELLORE Solved Paper-2011

  • question_answer
    \[E_{C{{u}^{\,2+}}/Cu}^{\text{o}}=0.34\,V,\]\[E_{Z{{n}^{\,2+}}/Zn}^{\text{o}}=-\,0.76\,V.\] A Daniell cell contains 0.1 M \[ZnS{{O}_{4}}\]solution and 0.01 M \[CuS{{O}_{4}}\]solution at its electrodes. EMF of the cell is

    A)  1.10 V                  

    B)  1.04 V 

    C)  1.16 V                  

    D)  1.07 V  

    E)  1.00 V 

    Correct Answer: D

    Solution :

                    \[C{{u}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Cu\,;\] \[E{}^\circ =0.34\] \[Z{{n}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Zn;\]     \[E{}^\circ =-\,0.76\] In the cell, \[Zn\underset{anode}{\mathop{|Z{{n}^{2+}}||}}\,\underset{cathode}{\mathop{Cu|C{{u}^{2+}}}}\,\] In the cell, \[E_{cell}^{\text{o}}=E{{{}^\circ }_{cathode}}-E{{{}^\circ }_{anode}}\] \[0.34-(-\,0.76)=1.1\] \[{{E}_{cell}}=E_{cell}^{\text{o}}-\frac{0.0591}{2}\log \frac{[Z{{n}^{2+}}]}{[C{{u}^{2+}}]}\] \[=1.1-0.02955\,\,\log \frac{0.1}{0.01}\] \[=1.1-0.02955\] \[=1.07\,V\]


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